SUMMARY We investigate binary sequence pairs with two-level correlation in terms of their corresponding cyclic difference pairs (CDPs). We define multipliers of a cyclic difference pair and present an existence theorem for multipliers, which could be applied to check the exis-tence/nonexistence of certain hypothetical cyclic difference pairs. Then, we focus on the ideal case where all the out-o...

The account of electron correlation and its efficient separation into dynamic and nondynamic parts plays a key role in the development of computational methods. In this paper we suggest a physically-sound matrix formulation to split electron correlation into dynamic and nondynamic parts using the two-particle cumulant matrix and a measure of the deviation from idempotency of the first-order den...

In this article we apply the method used in the recent elegant proof by Kiselev, Nazarov and Volberg of the well-posedness of critically dissipative 2D quasi-geostrophic equation to the super-critical case. We prove that if the initial value satisfies ‖∇θ0‖1−2s L∞ ‖θ0‖ L∞ < cs for some small number cs > 0, where s is the power of the fractional Laplacian, then no finite time singularity will oc...

the aim of this study was to determine the relationship between five personality traits and the methods to confront conflicts in physical education teachers (yazd city). the research used a descriptive and correlational method. the statistical population consisted of all physical education teachers in districts one and two in yazd city (n=125). the statistical sample was similar to the statisti...

In this paper, we propose a simple but efficient method for optimizing correlation properties of polyphase spreading sequences for asynchronous DS CDMA applications. The proposed method can be used to minimize the mean square value of aperiodic crosscorrelation or the mean square value of aperiodic autocorrelation, the maximum value of aperiodic crosscorrelation functions, merit factor or other...

Prepositions in English are a well-known challenge for language learners, and the computational analysis of preposition usage has attracted significant attention. Such research generally starts out by developing models of preposition usage for native English based on a range of features, from shallow surface evidence to deep linguistically-informed properties. While we agree that ultimately a c...

Experiments are presented based on unofficial results for TREC-7. Eigensystems analysis of a term cooccurrence matrix is compared to eigensystems analysis of a term correlation matrix. For each matrix type, the effect of term weighting and document length normalization is assessed. Recall-precision curves and other TREC statistics indicate that the use of the correlation matrix improves perform...

We consider the following problem: given two matrices A and B, find a rank-r approximation of their product ATB. This type of linear algebra problem has many applications in the machine learning and statistics domain. For example, if A = B, then this general problem reduces to the well-known problem of finding principal components of a given data matrix. Another example is the low-rank approxim...

A hypercomplex representation of DNA is proposed to facilitate comparing DNA sequences with fuzzy composition. With the hypercomplex number representation, the conventional sequence analysis method, such as, dot matrix analysis, dynamic programming, and cross-correlation method have been extended and improved to align DNA sequences with fuzzy composition. The hypercomplex dot matrix analysis ca...

the matrix functions appear in several applications in engineering and sciences. the computation of these functions almost involved complicated theory. thus, improving the concept theoretically seems unavoidable to obtain some new relations and algorithms for evaluating these functions. the aim of this paper is proposing some new reciprocal for the function of block anti diagonal matrices. more...